Finding the Fourth Proportional to 201,786,465,741.38, 302,679,989,922.85 and 82,403,790,271.70
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Solution
The fourth proportional to 201,786,465,741.38, 302,679,989,922.85 and 82,403,790,271.70 is: 123,605,804,370.49
Step by Step Solution
- Step 1: Write the proportion equation
201,786,465,741.38 : 302,679,989,922.85 = 82,403,790,271.70 : x - Step 2: Convert to fraction form
201,786,465,741.38/302,679,989,922.85 = 82,403,790,271.70/x - Step 3: Cross multiply
201,786,465,741.38x = 302,679,989,922.85 × 82,403,790,271.70 - Step 4: Simplify right side
201,786,465,741.38x = 24,941,978,409,041,286,660,096 - Step 5: Solve for x
x = 24,941,978,409,041,286,660,096/201,786,465,741.38 - Step 6: Final answer
x = 123,605,804,370.49
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.